d. Simple Regression. Identify two variables for which you could calculate a simple regression. Describe the...

d. Simple Regression. Identify two variables for which you could calculate a simple regression. Describe the variables and their scale of measurement. Which variable would you include as the predictor variable and which as the outcome variable? Why? What would R2 tell you about the relationship between the two variables?

Expert Solution

Simple Regression:

(1) Identify two variables for which you could calculate a simple regression:

Variable 1 : Number of hours a student spends on average daily on studies

Variable 2: The marks obtained by the student in the examination

(2) Describe the variables and their scale of measurement.

Variable 1 : Number of hours a student spends on average daily on studies - Ratio scale of measurement

Variable 2: The marks obtained by the student in the examination - Ratio scale of measurement

(3) Which variable would you include as the predictor variable and which as the outcome variable? Why? :

Predictor Variable: Number of hours a student spends on average daily on studies

Outcome Variable: The marks obtained by the student in the examination

Reason: The research question in this experimentation is to study how the marks obtained by the student in the examination changes (increases/ decreases) with the number of hours a student spends on average daily on studies

(4) What would R2 tell you about the relationship between the two variables?

R² is a statistical measure of how close the data to the Regression Line. A value of R² close to 0% indicates that the model explains almost none of the variability of the response data around the mean. A value of R² close to 100% indicates that the model explains almost all of the variability of the response data around the mean.

orchestra answered 1 year ago

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